ConwayLife.com

Well, I think that it can be figured out exactly how to find out how many possible significant interactions of three gliders there can be.
I am aware that there are infinite possibilities due to gliders colliding with glider emitted from two-glider collisions.

First, in any given pattern, we need to figure out in every generation how many places a glider could be. This could probably be done using a variation of the life history rule and a script that figures out all of these locations by testing whether a glider could get there in the first place. Then, we would go through every generation of every reaction between 2 glider like this, as well as every permutation of phases in the final pattern if there are oscillators, as well as two-glider collisions of the gliders emitted from those patterns that end of affecting the original pattern.

Tell me what you think of this method.

I was thinking of putting all possible glider positions that interact with each of the seventy-one distinct two-glider collisions, and being very careful not to duplicate collisions.

Or you could just use gencols.